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Let the integral I=int((2020)^(x+sin^(-1)(2020)^(x)))/(sqrt(1-(2020)^(2x)))dx =K^(2)(202)^(sin^(-1)(2020)^(x))+lambda (where, lambda is constant of integration), then the value of 2020^(K) is

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The co-efficient of x^(2020) in the expansion of (1+x)(1-x)^(2020) is

Let alpha and beta be the roots of x^(2)+x+1=0 , then the equation whose roots are alpha^(2020) and beta^(2020) is